If someone flips switches on the selection in a completely random fashion, what is the probability that the system selected contains at least one sony component? exactly one sony component? (round your answer to three decimal places.) at least one sony component correct: your answer is correct. exactly one sony component

Answers

Answer 1

Given that a display allows a customer to hook together any selection of components, one of each type. These are the types:
Receiver: Kenwood, Onkyo, Pioneer, Sony, Sherwood
CD player: Onkyo, Pioneer, Sony, Technics
Speakers: Boston, Infinity, Polk
Cassette: Onkyo, Sony, Teac, Technics:

Part (a):
In how many ways can one component of each type be selected?

The number of ways one type of receiver will be selected is given by 5C1 = 5
The number of ways one type of CD player will be selected is given by 4C1 = 4
The number of ways one type of speakers will be selected is given by 3C1 = 3
The number of ways one type of cassette will be selected is given by 4C1 = 4

Therefore, the number of ways one component of each type can be selected is given by 5 x 4 x 3 x 4 = 240 ways

Part (b):
In how many ways can components be selected if both the receiver and the compact disc player are to be Sony?

The number of ways of selecting a Sony receiver is 1
The number of ways of selecting a Sony CD player is 1
The number of ways one type of speakers will be selected is given by 3C1 = 3
The number of ways one type of cassette will be selected is given by 4C1 = 4

Therefore, the number of ways components can be selected if both the receiver and the compact disc player are to be Sony is given by 1 x 1 x 3 x 4 = 12

Part (c)
In how many ways can components be selected if none of them are Sony?

The number of ways one type of receiver that is not Sony will be selected is given by 4C1 = 4
The number of ways one type of CD player that is not Sony will be selected is given by 3C1 = 3
The number of ways one type of speakers that is not Sony will be selected is given by 3C1 = 3
The number of ways one type of cassette that is not Sony will be selected is given by 3C1 = 3

Therefore, the number of ways that components can be selected if none of them are Sony is given by 4 x 3 x 3 x 3 = 108

Part (d):
In how many ways can a selection be made if at least one Sony component is to be included?

The total number of ways of selecting one component of each type is 240
The number of ways that components can be selected if none of them are Sony is 108

Therefore, the number of ways of selecting at least one Sony component is given by 240 - 108 = 132

Part (e):
If someone flips switches on the selection in a completely random fashion, what is the probability that the system selected contains at least one Sony component?

The total number of ways of selecting one component of each type is 240
The number of ways of selecting at least one Sony component is 132

Therefore, the probability that a system selected at random contains at least one Sony component is given by 132 / 240 = 0.55

Part (f):
If someone flips switches on the selection in a completely random fashion, what is the probability that the system selected contains exactly one Sony component? (Round your answer to three decimal places.)

The number of ways of selecting only a Sony receiver is given by 1 x 3 x 3 x 3 = 27
The number of ways of selecting only a Sony CD player is given by 4 x 1 x 3 x 3 = 36
The number of ways of selecting only a Sony cassette is given by 4 x 3 x 3 x 1 = 36

Thus, the number of ways of selecting exactly one Sony component is given by 27 + 36 + 36 = 99

Therefore, the probability that a system selected at random contains exactly one Sony component is given by 99 / 240 = 0.413

Related Questions

A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?

Answers

now, a decigram is "deci" one tenth of a gram, 1/10 gram.

whilst a milligram is "milli" one thousandth of a gram, 1/1000 gram

now, the flea is 8 of those decigrams thus is 8 * (1/10) grams

the ant is 3 of those milligrams thus 3 * (1/1000) grams

let's find their difference.

[tex]\bf 8\left( \frac{1}{10} \right)\implies \cfrac{8}{10}\implies \stackrel{decigrams}{\cfrac{4}{5}} \\\\\\ 3\left( \frac{1}{1000} \right)\implies \stackrel{milligrams}{\cfrac{3}{1000}}\\\\ -------------------------------\\\\ \cfrac{4}{5}-\cfrac{3}{1000}\impliedby \textit{our LCD is 1000}\implies \cfrac{(200\cdot 4)-3}{1000}\implies \cfrac{800-3}{1000} \\\\\\ \cfrac{797}{1000}\implies 797\left( \frac{1}{1000} \right)\implies 797~milligrams[/tex]

Answer:

797 milligrams

Step-by-step explanation:

Hope this helps!

2x + y = -2
x + y = 5
The x-coordinate of the solution to the system shown is _____.
-7
-3
3
7

Answers

Subtract equation (2) from equation (1)
Subtract the like terms (ie subtract straight down)

2x - x = 1x = x
y - y = 0y = 0 so the y terms go away
-2 - 5 = -7

We end up with x = -7

Answer:

-7

Step-by-step explanation:

In a steel titanium alloy, 360 grams of steel were required to make 1200 grams of the alloy. How much titanium was required to make 1600 grams of the alloy?

Answers

check mathematics app

Lisa drew a picture of a boat. She used the scale 1 inch: 6.5 feet the boat in her picture is 7:25 inches long. What is the length, in feet of the actual boat?

Answers

Okay. So, using the scale, we can solve for the length of the actual boat by writing and solving a proportion. Let’s write it out like this: 1/6.5 = 7.5/x. This is because you’re looking for the real length of the boat, so the x would be lined up horizontally with 6.5, as shown in the proportion. Let’s cross multiply. 6.5 * 7.5 is 48.75. 1 * x is 1x. 48.75 = 1x. Now, let’s divide each side by 1 to isolate the “x”. When you do that, you get x = 48.75. There. The length of the actual boat is 48.75 feet.

you can write this as a proportion 1 inch is to 6.5 feet as 7.25 in is to X 1/6.5 = 7.25/X 7.25 times 6.5 = X X = 47.125 feet

How to divide 715÷25 using partial quotient

Answers

Attached a solution and showed work.

Ms.Smith has 132 stickers to give to her students.Shehas 5 students.If she gives the same number of stickers to each of her students how many stickers will she have leftover

Answers

If Ms. Smith hands out 130 of her stickers between all 5 of her students each will have 26. Which means she will have 2 remaining

She'll have 24.6 stickers left over because you divide the 132 stickers with the 5 students

Harrison mows lawns and rakes leaves for his summer and fall weekend jobs. He gets $10 an hour to mow lawns and $8 an hour to rake leaves. If, during September, Harrison mows for m hours and rakes for 12 hours, which expression represents the amount of money he makes? Harrison mows lawns for 11 hours, so m = 11. How much money does he make in September?

Answers

total money= 10m+8(12)

Answer:

first one is 10m+8(12)

second one is 206

Step-by-step explanation:

i took it alrr..

A miner descended 1500 feet into a mine. While in the mine, he then rose 1200 feet and then descended 850 feet. What was the miner's net gain or loss in altitude?

Answers

Call descending a negative number and rising a positive number.
Then add the numbers.

A miner descended 1500 feet into a mine.
-1500 ft

he then rose 1200 feet
+1200 ft

then descended 850 feet
-850 ft

Now add the three numbers:
-1500 ft + 1200 ft + (- 850 ft) = -1150 ft

Since the sum is a negative number, that means
he had a net loss in altitude of 1150 ft.

What is a point estimate of the difference between the mean annual premium in pennsylvania and the national mean (to the nearest dollar)?

Answers

Given that the mean annual premium for automobile insurance in the United States is $1503 and that a sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $1440

Then the point estimate of the difference between the mean annual premium in pennsylvania and the national mean (to the nearest dollar) is $1,440 - $1,503 = -$63.

Final answer:

A point estimate is a single value used to estimate an unknown parameter. The point estimate of the difference between the mean annual premium in Pennsylvania and the national mean can be calculated by taking the difference between the two means.

Explanation:

A point estimate is a single value that is used to estimate an unknown parameter of a population. In this case, the point estimate of the difference between the mean annual premium in Pennsylvania and the national mean can be calculated by taking the difference between the two means. Let's say the mean annual premium in Pennsylvania is $1000 and the national mean is $1500. The point estimate of the difference would be $1500 - $1000 = $500.

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Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based on your table, will the graphs of these two functions intersect? Explain your answer. 40 POINTS

Answers

3x + 1 = y

x: 1 | 2 | 3 |
------|---|--- |----------------
y: 4 | 7 | 10|

so make points at (1,4) (2,7) and (3,10), and connect them to get the line

4x + 1

x: 1 | 2 | 3
----------------
y: 5 | 9 | 13

Make points at (1,5) (2,9) and (3,13)

IF they do not intersect yet, continue making points until they intersect. Make note of the point in which they intersect, and that is your answer

hope this helps

Raffle tickets are being sold for a fundraiser. The function a(n) relates the amount of money raised to the number of tickets sold, n.

It takes as input the number of tickets sold and returns as output the amount of money raised.

a(n) = 3n – 15

Which equation represents the inverse function n(a), which takes the money raised as input and returns the number of tickets sold as output?

Answers

Answer:

For apex it is N(a)= [tex]\frac{a+15}{3}[/tex]

Final answer:

To find the inverse function, solve the equation a = 3n - 15 for n. The inverse function is n(a) = (a + 15) / 3.

Explanation:

To find the inverse function, we need to solve the equation n(a) = 3n - 15 for n.

Step 1: Replace n(a) with a: a = 3n - 15

Step 2: Solve for n.

Add 15 to both sides of the equation.a + 15 = 3nDivide both sides of the equation by 3.(a + 15) / 3 = n

Therefore, the inverse function is n(a) = (a + 15) / 3.

Solve 8d + 4d – 5d – 4 = 3d.

Answers

8d + 4d - 5d - 4 = 3d
12d - 5d - 4 = 3d
7d - 4 = 3d
7d = 3d + 4
4d = 4
d = 1

8d+4d-5d-4=3d
7d-4=3d
7d-3d=4
4d=4
d=1

Evaluate the integral. (remember to use absolute values where appropriate. use c for the constant of integration.) 2 (t + 2)(t − 6) dt

Answers

do you mean 2(t+2)(t-6) dt?
if yes then,
expanding you have
2 { t² -4t -12} dt
2 ∫ t²-4t-12 dt
2 [ t³ -4t² -12t +c]

The question asked what is 1/4 % of 2000

Answers

1/4% of 2000 is 5

Hope this helps!

do u mean 25% if so its 500 if u mean .25% then 5

What is the answer to the distributative operation of 85 divided by 5

Answers

85(2)+85(3)=255 but if u divide it normally it would be 17

Hello Brainly,
Please send the details for the area of each shape.
Sincerely,
Leanoriaia

Answers

This type of problems are solved by partitioning the figure into rectangles, whose areas we can find easily.

Picture 1)

From the point denoted by E, draw two altitudes towards the sides AG and AC.

Since ED is 3, then BC is 3. Thus, AB=4-3=1.

Since EF is 1, then HG is 1, so AH=3-1=2.

The area of the figure is equal to the area of rectangle ACDH + the area of the square HEFG.

That is, the area of the figure is 4*2+1*1=8+1=9 (square in).

Picture 2)

As in the first part, draw the altitudes EB and EH from point E.

GF is 5, so AB is 5. This means that BC=7-5=2 (in).

FE is 3, so GH is 3, that is HA=6-3=3.

Thus, Area(figure)=Area(ABFG)+Area(BCDE)=5*6+2*3=30+6=36 (square in.)

Answer: 9 (square in); 36 (square in.)

Solve P=2D+2C for D

Answers

P-2c/2 = D So, P-2c all over 2 is equal to D.

Answer: D = (P - 2C)/2

Step-by-step explanation:

We want to solve P= 2D + 2C for D

This means "isolate D in one side of the equation"

The first step is subtracting 2C in the both sides of the equation:

P - 2C = 2D + 2C - 2C = 2D

P - 2C = 2D

Now, we want to take of the multiplication that is acting on D, so we divide in both sides by 2:

(P - 2C)/2 = (2D)/2 = D

Now we have D isolated, and this is:

D = (P - 2C)/2

If 3 tons of flower bed mulch cost $480, what is the price per pound?

Answers

1 ton = 2,000 pounds
3 tons = 6,000 pounds
$480/6,000 = 0.08
per pound is $0.08

Mike has $880 in his savings account and adds $24 per week. at the same time, leslie has $520 in his savings account and adds $36.00 per week. how long will it take leslie to have the same amount as mike?

Answers

30 weeks

880+24x=mike
520+36x=leslie

880+24x = 520+36x

360=12x
x=30 weeks

The second angle of a triangular kite is four times as large as the first. The third angle is 45 degrees more than the sum of the other two angels. Find the measurement of the second angle.

Answers

the ANSWER is
92.5 degrees
because second angle = 4x = 4*17.5 = 70 deg
so
third angle = 5x+5 = 5*17.5 + 5= 92.5 deg

the table shows the low temperature in five cities on a winter day. which statement is true

A. it is warmer in Tacoma than in Roseville

B. it is colder in Roseville Than in Helena

C. It is warmer in Helena than in Fargo

D. it is colder in Tacoma than in Great Falls

Answers

The answer to that question so D because 1.0 is the lowest tem.

A company manufactures photo cells it uses the expression

Answers

What expression it’s not completed

is (3,13) a solution of the equation y=4x

Answers

y=4x
13 = 4(3)
13 = 12 ...not true

answer
(3,13) is not a solution of the equation y=4x

No because 13 = 4(3) is not equal. So the answer is no.

Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?

Answers

Since the amount of money it costs for the forks are 1.70f (if f is the number of forks, due to that we add 1.70 for each fork) and the spoons is 1.30s (with s being the number of spoons), the total money spent is
1.7f+1.3s=37.9 and the total money made is
5.6f+5.4s=147.20 dollars (since forks sell for 5.6 dollars and spoons 5.4)

Multiplying the first equation by -5.4/1.3 and adding it to the second, we end up with -1.46153846154f=-10.2307692308 and by dividing both sides by -1.46153846154, we get f=7. Plugging that into 1.7f+1.3s=37.9, we get 1.7*7+1.3s=37.9. Subtracting 1.7*7 from both sides and then dividing them by 1.3, we end up with (37.9-1.7*7)/1.3=s=20

Which expression is equivalent to 6 – (–8)?

Answers

[tex] 6 -(-8)[/tex]

[tex]6+8 [/tex]

[tex]=14[/tex]

The expression 6 – (–8) will be equivalent to 14.

What is an expression?

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Given the expression,

6 – (–8)

By multiplication,

Negative signs become positive

6 – (–8) = 6 + 8 = 14

Hence "The expression 6 – (–8) will be equivalent to 14.".

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Need help solving this :/

Answers

[tex]\bf \begin{array}{cccll} x&171x-337778&\textit{internet users}\\ ----&-------&------\\ 2004&171(2004)-337778&4906\\ 2005&171(2005)-337778&5077\\ 2006&171(2006)-337778&5248\\ 2007&171(2007)-337778&5419\\ 2008&171(2008)-337778&5590\\ 2009&171(2009)-337778&5761\\ 2010&171(2010)-337778&5932\\ \end{array}[/tex]

now, that's using the table of values, let's do so using N = 5932

[tex]\bf N=171x-337778\implies 5932=171x-337778 \\\\\\ 5932+337778=171x\implies 343710=171x\implies \cfrac{343710}{171}=x \\\\\\ 2010=x[/tex]

what two consecutive numbers the square root of 10 between

Answers

[tex]\bf \sqrt{10}\approx 3.162278 \\\\\\ \boxed{3}\text{\textemdash\textemdash\textemdash}3.162278\text{\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash\textemdash}\boxed{4}[/tex]

A bank offers a money market account paying 4.9% interest compounded semiannually. A competing bank offers a money market account paying 4.8% interest compounded daily. Which account is the better investment?

Answers

Assume $1000 at 4.9% semi-annually = $1,049.60
Assume $1000 at 4.8% daily = $1,049.17

Let's try a bigger number $50'000 4.9% semi-annually $52,480.01
$50,000 4.8% daily = $52,458.37
It's a wash, the question is how long will you be investing, that might make a difference. I calculated 12 Millions over 6 years and bank A would be the better choice. Semi-annual compounded at 4.9%

The domain for f(x) and g(x) is the set of all real numbers. let f(x) = 3x + 5 and g(x) = x2. find g(x) − f(x). x2 − 3x − 5 3x3 − 5x2 3x2 − 5 x3 − 5

Answers

f (x)=3x+5
g (x)=x^2

g (x)-f (x)=(x^2)-(3x+5)
=x^2-3x-5

What is the probability that the selected consumer is 35–55 years old or likes crunchicles?

Answers

Final answer:

The probability that a selected consumer is 35–55 years old or likes crunchicles is 0.5.

Explanation:

To determine the probability that the selected consumer is 35–55 years old or likes crunchicles, we need to add the probabilities of these two events happening individually and subtract the probability of both events happening. Let's assume the probability of a randomly selected consumer being 35–55 years old is 0.4 and the probability of a randomly selected consumer liking crunchicles is 0.3. The probability of a randomly selected consumer being both 35–55 years old and liking crunchicles is 0.2. Therefore, the probability that the selected consumer is 35–55 years old or likes crunchicles is:

P(35-55 or crunchicles) = P(35-55) + P(crunchicles) - P(35-55 and crunchicles)

= 0.4 + 0.3 - 0.2 = 0.5

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